Q93 · CSIR-NET Chemistry, December 2014

Paper: CSIR-NET December 2014 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Marks: 2 · Difficulty: Medium

The product $\sigma^{\mathrm{xy}} . \mathrm{S}_{4}^{\mathrm{z}}\left(\mathrm{S}_{4}^{\mathrm{z}}\right.$ is the four fold improper axis of rotation around the $z$-axis, and $\sigma^{\mathrm{xy}}$ is the reflection in the xy plane) is
(a)$\mathrm{C}_{4}^{\mathrm{z}}$
(b)$\mathrm{C}_{4}^{\mathrm{z}} \cdot \mathrm{i}$
(c)$\mathrm{C}_{4}^{\mathrm{y}}$
(d)$\mathrm{C}_{2}^{\mathrm{z}}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
σ_xy·S₄ = σ_hσ_hC₄ = C₄(z) (a).

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